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题名: Near integrability of kink lattice with higher order interactions
作者: Jiang, YG ;  Liu, JZ ;  He, S
刊名: CHINESE PHYSICS C
出版日期: 2017
卷号: 41, 期号:11, 页码:113107
关键词: integrable system ;  soliton ;  Toda lattice
学科分类: Physics
DOI: http://dx.doi.org/10.1088/1674-1137/41/11/113107
通讯作者: Jiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China. ;  Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China.
文章类型: Article
英文摘要: We make use of Manton's analytical method to investigate the force between kinks and anti-kinks at large distances in 1+1 dimensional field theory. The related potential has infinite order corrections of exponential pattern, and the coefficients for each order are determined. These coefficients can also be obtained by solving the equation of the fluctuations around the vacuum. At the lowest order, the kink lattice represents the Toda lattice. With higher order correction terms, the kink lattice can represent one kind of generic Toda lattice. With only two sites, the kink lattice is classically integrable. If the number of sites of the lattice is larger than two, the kink lattice is not integrable but is a near integrable system. We make use of Flaschka's variables to study the Lax pair of the kink lattice. These Flaschka's variables have interesting algebraic relations and non-integrability can be manifested. We also discuss the higher Hamiltonians for the deformed open Toda lattice, which has a similar result to the ordinary deformed Toda.
类目[WOS]: Physics, Nuclear ;  Physics, Particles & Fields
关键词[WOS]: TODA LATTICE ;  INTEGRALS
项目资助者: Shandong Provincial Natural Science Foundation [ZR2014AQ007] ;  National Natural Science Foundation of China [11403015, U1531105, 11305235] ;  Max-Planck fellowship in Germany
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21940
Appears in Collections:理论物理所2017年知识产出_期刊论文

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Recommended Citation:
Jiang, YG,Liu, JZ,He, S. Near integrability of kink lattice with higher order interactions[J]. CHINESE PHYSICS C,2017,41(11):113107.
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